Answer:
0.54
Step-by-step explanation:
A = "she's up all night 'til the sun"
B = "she's up all night for good fun"
P(A) = 0.29
P(B) = 0.27
P(A or B) = 0.02
The following relationship is known:
[tex]P(A\ or\ B) = P(A)+P(B) - P(A\ and\ B)[/tex]
Therefore, applying the given data:
[tex]P(A\ and\ B) = P(A)+P(B)-P(A\ or\ B)\\P(A\ and\ B) = 0.29+0.27-0.02\\P(A\ and\ B) = 0.54[/tex]
The probability that "she's up all night 'til the sun" AND "she's up all night for good fun" is 0.54.
